A surgical access apparatus includes an access member defining a longitudinal axis and having a longitudinal passageway for reception and passage of a surgical object, a seal member mounted to the access member and having inner seal portions defining an aperture to removably receive the surgical object in substantial fluid-tight sealing relation therewith and at least one cable member. The at least one cable member has a first cable end connected to a first radial section of the seal member and a second cable end connected to a second radial section of the seal member displaced from the first radial section. The first and second cable ends are adapted to be laterally displaced relative to the longitudinal axis during offset lateral movement of the surgical object, to thereby cause corresponding lateral displacement of the inner seal portions of the seal member whereby the inner seal portions maintain the substantial fluid tight sealing relation with the surgical object.